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13(3x+4)-5(2x-6)=6x-22
We simplify the equation to the form, which is simple to understand
13(3x+4)-5(2x-6)=6x-22
Reorder the terms in parentheses
+(+39x+52)-5*(2x-6)=6x-22
Remove unnecessary parentheses
+39x+52-5+*(+2x-6+)=+6x-22
Reorder the terms in parentheses
+39x+52+(-10x+30)=6x-22
Remove unnecessary parentheses
+39x+52-10x+30=+6x-22
We move all terms containing x to the left and all other terms to the right.
+39x-10x-6x=-22-52-30
We simplify left and right side of the equation.
+23x=-104
We divide both sides of the equation by 23 to get x.
x=-4.5217391304348
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